Question

Evaluate the expression$|3t-2u|+5v$if$t=2,u=-5$and$v=-3$.

Short answer

The value of the given expression is$1.$

Step-by-step solution

Step 1. Given Information.

We have the expression $|3t-2u|+5v$.

To find the value of the given expression when role="math" localid="1643090177102" $t=2,u=-5\mathrm{and}v=-3$.

Step 2. Apply the concept.

We substitute the given value of$t,u,v$ in the given expression and find the value of the expression $|3t-2u|+5v$.

Step 3. Calculation.

Solving the given expression:

$\begin{array}{l}|3t-2u|+5v=|3\left(2\right)-2\left(-5\right)|+5\left(-3\right)\\ =|6+10|-15\\ =\left|16\right|-15\\ =1\\ \Rightarrow |3t-2u|+5v=1\end{array}$

Hence, the value of the given expression is$1.$